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Arithmetic Mean of Dataset {67, 79, 55, 61, 88}

What is the arithmetic mean of the dataset {67, 79, 55, 61, 88}?

The arithmetic mean is 70. It is calculated by summing all five data values (350) and dividing by the number of data points (5).

Conditions

  • The dataset consists of the values 67, 79, 55, 61, and 88.
  • The mean is the simple average of these values.

Reasoning, step by step

  1. Sum the data values: 67+79+55+61+88=35067 + 79 + 55 + 61 + 88 = 350.
  2. Count the number of data points: n=5n = 5.
  3. Divide the sum by the count: μ=3505=70\mu = \frac{350}{5} = 70.

Example

The video displays the calculation: μ=(67+79+55+61+88)/5=70\mu = (67+79+55+61+88)/5 = 70.

Common misconceptions

  • Adding the values incorrectly.
  • Dividing by the wrong number (e.g., 4 or 6).
  • Confusing the mean with the median or mode.

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